A Statistics Professor at a Large University Hypothesizes That Students

question 66

Multiple Choice

A statistics professor at a large university hypothesizes that students who take statistics in the morning typically do better than those who take it in the afternoon.He takes independently random samples,each of size 36,consisting of students who took a morning and an afternoon class,and compares the scores of each group on a common final exam.He finds that the morning group scored an average of 74 with a standard deviation of 8,while the evening group scored an average of 68 with a standard deviation of 10.The population standard deviation of scores is unknown but is assumed to be equal for morning and evening classes.Let µ₁ andµ₂ represent the population mean final exam scores of statistics' courses offered in the morning and the afternoon,respectively.Which of the following is(are) the appropriate critical value(s) to test the professor's claim at the 1% significance level?

• A) -2.381 and 2.381
• B) -2.326 and 2.326
• C) 2.326
• D) 2.381

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Definitions:

Personal Biases

Prejudices or preconceived notions that individuals may unconsciously hold towards others or certain situations, which can affect their judgment and actions.

Sexual Health

A state of physical, emotional, mental, and social well-being in relation to sexuality; it encompasses a positive and respectful approach to sexuality and sexual relationships.

Cultural Patterns

Refers to the recurring habits and norms that characterize the way of life and social relations of a particular community or society.

Follicular Phase

The phase of the menstrual cycle during which follicles in the ovary mature, ending with ovulation; it is marked by the thickening of the uterine lining and an increase in estrogen levels.